A calibrated SVM based on weighted smooth 𝐺𝐿_{1∕2} for Alzheimer’s disease prediction

Alzheimer’s disease (AD) is currently one of the mainstream senile diseases in the world. It is a key problem predicting the early stage of AD. Low accuracy recognition of AD and high redundancy brain lesions are the main obstacles. Traditionally, Group Lasso method can achieve good sparseness. But, redundancy inside group is ignored. This paper proposes an improved smooth classification framework which combines the weighted smooth 𝐺𝐿1∕2 (𝑤𝑆𝐺𝐿1∕2) as feature selection method and a calibrated support vector machine (cSVM) as the classifier. 𝑤𝑆𝐺𝐿1∕2 can make intra-group and inner-group features sparse, in which the group weights can further improve the efficiency of the model. cSVM can enhance the speed and stability of model by adding calibrated hinge function. Before feature selecting, an anatomical boundary-based clustering, called as ac-SLIC-AAL, is designed to make adjacent similar voxels into one group for accommodating the overall differences of all data. The 𝑐𝑆𝑉 𝑀 model is fast convergence speed, high accuracy and good interpretability on AD classification, AD early diagnosis and MCI transition prediction. In experiments, all steps are tested respectively, including classifiers’ comparison, feature selection verification, generalization verification and comparing with state-of-the-art methods. The results are supportive and satisfactory. The superior of the proposed model are verified globally. At the same time, the algorithm can point out the important brain areas in the MRI, which has important reference value for the doctor’s predictive work. The source code and data is available at http://github.com/Hu-s-h/c-SVMForMRI.